GCSE Secondary Maths Age 13-17 - Graphs: Parallel Lines - Explained

The video tutorial explains how to find the equation of a line parallel to another given line. It starts by introducing the concept of parallel lines and their identical gradients. The tutorial then demonstrates how to use the gradient of the given line to form the equation of the second line, l2, which passes through a specific point. By substituting the point's coordinates into the equation, the constant term is determined, resulting in the final equation for l2. The video concludes with a discussion on mark allocation for solving such problems.

What is the key concept to remember about parallel lines?

• They are perpendicular to each other.

• They have the same gradient.

• They have different gradients.

• They intersect at one point.

What is the gradient of line l1 given by the equation y = 3x + 2?

• 2

• 4

• 5

• 3

If line l2 is parallel to line l1, what will be the gradient of line l2?

• 4

• 3

• 2

• 1

Given that line l2 passes through the point (3, 4), what is the value of c in the equation y = 3x + c?

• 5

• 9

• 0

• -5

What is the final equation of line l2?

• y = 3x + 2

• y = 3x - 5

• y = 3x + 5

• y = 3x - 2